4th Edition

ISBN: 9780321826275

Author: Richard D. De Veaux

Publisher: PEARSON

Concept explainers

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Textbook Question

Chapter 5.1, Problem 1JC

Your statistics teacher has announced that the lower of your two tests will be dropped. You got a 90 on test 1 and an 80 on test 2. You’re all set to drop the 80 until she announces that she grades “on a curve.” She standardized the scores to decide which is the lower one. If the mean on the first test was 88 with a standard deviation of 4 and the mean on the second was 75 with a standard deviation of 5,

a) Which one will be dropped?
b) Does this seem “fair”?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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Chapter 4, Problem 52E

Chapter 5.2, Problem 2JC

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Chapter 5 Solutions

Intro Stats

Ch. 5.1 - Your statistics teacher has announced that the...Ch. 5.2 - Prob. 2JC Ch. 5.2 - Prob. 3JC Ch. 5.3 - As a group, the Dutch are among the tallest people...Ch. 5.3 - Prob. 5JC Ch. 5 - Stats test The mean score on the Stats exam was 75...Ch. 5 - Prob. 2E Ch. 5 - Temperatures A towns January high temperatures...Ch. 5 - Placement exams An incoming freshman took her...Ch. 5 - Shipments A company selling clothing on the...

Ch. 5 - Hotline A companys customer service hotline...Ch. 5 - Guzzlers? Environmental Protection Agency (EPA)...Ch. 5 - Prob. 8E Ch. 5 - Normal cattle The Virginia Cooperative Extension...Ch. 5 - Prob. 10E Ch. 5 - Prob. 11E Ch. 5 - Prob. 12E Ch. 5 - Payroll Here are the summary statistics for the...Ch. 5 - Hams A specialty foods company sells gourmet hams...Ch. 5 - Prob. 15E Ch. 5 - Prob. 16E Ch. 5 - Prob. 17E Ch. 5 - Prob. 18E Ch. 5 - Prob. 19E Ch. 5 - Windy In the last chapter, we looked at three...Ch. 5 - Prob. 21E Ch. 5 - Combining scores again The first Stat exam had a...Ch. 5 - Final exams Anna, a language major, took final...Ch. 5 - Prob. 24E Ch. 5 - Prob. 25E Ch. 5 - Car speeds 100 John Beale of Stanford, California,...Ch. 5 - Prob. 27E Ch. 5 - Prob. 28E Ch. 5 - Prob. 29E Ch. 5 - Prob. 30E Ch. 5 - Prob. 31E Ch. 5 - Prob. 32E Ch. 5 - Prob. 33E Ch. 5 - Prob. 34E Ch. 5 - Trees A forester measured 27 of the trees in a...Ch. 5 - Rivets A company that manufactures rivets believes...Ch. 5 - Prob. 37E Ch. 5 - Prob. 38E Ch. 5 - 39. Winter Olympics 2010 downhill Fifty-nine men...Ch. 5 - 40. Check the model The mean of the 100 car speeds...Ch. 5 - Prob. 41E Ch. 5 - Prob. 42E Ch. 5 - Prob. 43E Ch. 5 - 44. More IQs In the Normal model N(l00, 16) from...Ch. 5 - Prob. 45E Ch. 5 - Prob. 46E Ch. 5 - Cholesterol Assume the cholesterol levels of adult...Ch. 5 - Tires A tire manufacturer believes that the...Ch. 5 - Kindergarten Companies that design furniture for...Ch. 5 - Prob. 50E Ch. 5 - Eggs Hens usually begin laying eggs when they are...Ch. 5 - Tomatoes Agricultural scientists are working on...

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Solution Summary: The author identifies which test (1 or 2) will be dropped. The z -score of test 1 is 0.5, and the second test is 1 standard deviation.

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